8.4.0: Exercises

Given the data 81, 84, 89, 85, 86, 84:

Exercise \(\PageIndex{1}\)

Compute the range.

Exercise \(\PageIndex{2}\)

Compute the standard deviation using the formula.

Given the data 127, 167, 156, 158, 156, 157:

Exercise \(\PageIndex{3}\)

Compute the range.

Exercise \(\PageIndex{4}\)

Compute the standard deviation using the formula.

For the following exercises, use the data found in “TNSchools”, which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent:

Column Name	Description
AdmRate	Proportion of applicants that are admitted
UGEnr	Number of undergraduate students
PTUG	Proportion of undergraduates who attend part-time
InState	Tuition and fees for in-state students
OutState	Tuition and fees for out-of-state students
FacSal	Mean monthly faculty salary
Pell	Proportion of students receiving Pell Grants
MedDebt	Median student loan debt at degree completion
StartAge	Mean age at the time of entry
Female	Proportion of students who identify as female

(source: https://data.ed.gov)

Exercise \(\PageIndex{5}\)

Find the range of admissions rates.

Exercise \(\PageIndex{6}\)

Find the standard deviation of admissions rates.

Exercise \(\PageIndex{7}\)

Find the range of undergraduate enrollments.

Exercise \(\PageIndex{8}\)

Find the standard deviation of undergraduate enrollments.

Exercise \(\PageIndex{9}\)

Find the range of the proportions of undergraduates attending part-time.

Exercise \(\PageIndex{10}\)

Find the standard deviation of the proportions of undergraduates attending part-time.

Exercise \(\PageIndex{11}\)

Find the range of in-state tuition costs.

Exercise \(\PageIndex{12}\)

Find the standard deviation of in-state tuition costs.

Exercise \(\PageIndex{13}\)

Find the range of median debt.

Exercise \(\PageIndex{14}\)

Find the standard deviation of median debt.

For the following exercises, use the table below, which gives the final results for the 2021 National Women’s Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored by that team (GF), and goals scored against that team (GA).

Team	PTS	W	L	T	GF	GA
Portland Thorns FC	44	13	6	5	33	17
OL Reign	42	13	8	3	37	24
Washington Spirit	39	11	7	6	29	26
Chicago Red Stars	38	11	8	5	28	28
NJ/NY Gotham FC	35	8	5	11	29	21
North Carolina Courage	33	9	9	6	28	23
Houston Dash	32	9	10	5	31	31
Orlando Pride	28	7	10	7	27	32
Racing Louisville FC	22	5	12	7	21	40
Kansas City Current	16	3	14	7	15	36

Exercise \(\PageIndex{15}\)

Compute the standard deviation and range of points.

Exercise \(\PageIndex{16}\)

Compute the standard deviation and range of wins.

Exercise \(\PageIndex{17}\)

Compute the standard deviation and range of losses.

Exercise \(\PageIndex{18}\)

Compute the standard deviation and range of ties.

Exercise \(\PageIndex{19}\)

Compute the standard deviation and range of goals scored (GF).

Exercise \(\PageIndex{20}\)

Compute the standard deviation and range of goals against (GA).

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